established

brought about or set up or accepted; especially long established

• “the established social order”
• “distrust the constituted authority”
• “a team established as a member of a major league”
• “enjoyed his prestige as an established writer”
• “an established precedent”
• “the established Church”

securely established

• “an established reputation”
• “holds a firm position as the country”

settled securely and unconditionally

• “that smoking causes health problems is an accomplished fact”

shown to be valid beyond a reasonable doubt

• “the established facts in the case”

conforming with accepted standards

• “a conventional view of the world”

introduced from another region and persisting without cultivation